What part of Italy is your friend from? My old roommate is Napolitan. It didn't take her long to master the language, but she was living in New Jersey with her aunt, uncle and two cousins her age, all who insisted on speaking only in English when she was around. Living here is expensive, but I would say your main concern will be getting the proper documentations to work. My old roommate is lucky enough that she has duel citizenship, so she never had to worry about visas, etc. Some friends of hers however, were living here for over a year, and had been working, but when it came time for their visas to be renewed, they were denied. So back to Italy they have to go.
I live in a tiny three bedroom share in Washington Heights, which I adore. Our rent is 1750 a month, divided by the three of us and the utilities run about $45 a person. Personally, I love having roommates (but I've always had AMAZING care-taking roomies.) Not being from New York, it was a way to build of a family away from home. So I love the company.
I've also lived in Jersey City, which is definitely another option. Our rent for a two bedroom was 1300. But mind you, we had a HUGE walk in closet. You do get more bang for your buck (bigger apartments), but I factored in PATH/Bus fare, and safety and found I was better off in Manhattan (although travel time to say midtown is probably about the same for both). I've been trying to get my old roomie to move into Manhattan with me for years, but she adores Jersey City!
"What a mystery this world. One day you love them and the next day you want to kill them a thousand times over." The Masked Bandit in THE FALL